blob: dde85bfa53427219455aeb20953d29434178d8ef (
plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
|
<?xml version="1.0" encoding="UTF-8"?>
<!--
* Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
* Copyright (C) Scilab Enterprises - 2013 - Charlotte HECQUET
*
* This file must be used under the terms of the CeCILL.
* This source file is licensed as described in the file COPYING, which
* you should have received as part of this distribution. The terms
* are also available at
* http://www.cecill.info/licences/Licence_CeCILL_V2.1-en.txt
*
-->
<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" xmlns:scilab="http://www.scilab.org" xml:lang="en" xml:id="fspec">
<refnamediv>
<refname>fspec</refname>
<refpurpose>spectral factorization of continuous time dynamical systems</refpurpose>
</refnamediv>
<refsynopsisdiv>
<title>Calling Sequence</title>
<synopsis>gm=fspec(g)</synopsis>
</refsynopsisdiv>
<refsection>
<title>Arguments</title>
<variablelist>
<varlistentry>
<term>g</term>
<listitem>
<para> a continuous time linear dynamical system.</para>
</listitem>
</varlistentry>
<varlistentry>
<term>gm</term>
<listitem>
<para> a continuous time linear dynamical system.</para>
</listitem>
</varlistentry>
</variablelist>
</refsection>
<refsection>
<title>Description</title>
<para>
returns <literal>gm</literal> with <literal>gm</literal> and <literal>gm^-1</literal> stable such that:
</para>
<programlisting role="no-scilab-exec"><![CDATA[
g = gtild(gm)*gm
]]></programlisting>
<para>
gtild(gm) returns a state-space representation of gm(-s)'.
</para>
<para>
<literal>g</literal> is inversible.
</para>
<para>
Imaginary-axis poles are forbidden.
</para>
<para>
gtild(g)=g (poles and zeros of g are symetric wrt imaginary axis).
</para>
<para>
g(inf) is positive definite.
</para>
</refsection>
<refsection>
<title>Examples</title>
<programlisting role="example"><![CDATA[
a=-1000;
b=5;
c=5;
d=5;
sl=syslin('c',a,b,c,d);
fspec(sl)
]]></programlisting>
</refsection>
</refentry>
|
